Pith Number

pith:HYD7BXSC

pith:2025:HYD7BXSC445VSLNS4SSSNAVDIH

not attested not anchored not stored refs pending

Exponential decay for the random connection model using asymptotic transitivity

Frankie Higgs

arxiv:2509.02310 v1 · 2025-09-02 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYD7BXSC445VSLNS4SSSNAVDIH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T12:03:36.024386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e07f0de42e73b592db2e4a52682a341e95a4082e4f560d3b8046f4103575838

Aliases

arxiv: 2509.02310 · arxiv_version: 2509.02310v1 · doi: 10.48550/arxiv.2509.02310 · pith_short_12: HYD7BXSC445V · pith_short_16: HYD7BXSC445VSLNS · pith_short_8: HYD7BXSC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HYD7BXSC445VSLNS4SSSNAVDIH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3e07f0de42e73b592db2e4a52682a341e95a4082e4f560d3b8046f4103575838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46e748b4033542edfd18120b0446b917a9aa81402383973d9ab66f15df5b2bd0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-02T13:33:14Z",
    "title_canon_sha256": "a56c7841cece24a5b775a0bdbfb553b0b63774e4e55148b02fbb7682b10e96dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02310",
    "kind": "arxiv",
    "version": 1
  }
}